Abstract
The shape of a stress wave in a thin viscoelastic rod changes as it propagates because of attenuation and dispersion that mainly depend on the material damping. In a thick viscoelastic rod, however, the shape of the stress wave is also affected by a geometrical factor, such as a rod diameter. Pochhammer-Chree theory as well as Love theory is developed for viscoelastic rods of finite thickness in order to study geometrical effects on the attenuation and dispersion properties. Applying the Fourier transformation to both theories, attenuation and dispersion properties are evaluated in the frequency domain. Several wave propagation experiments are performed on polymethyl methacrylate (PMMA) rod specimens to evaluate the analytical results. Analytical solutions of the transient response are obtained to examine three-dimensional effects on axial strain-time histories. In addition, the applicability of Elementary theory is discussed.
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